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Max-min approaches have been widely applied to address equity as an essentialconsideration in humanitarian operations. These approaches, however, have asignificant drawback of being neutral when it comes to solutions with the sameminimum values. These equivalent solutions, from a max-min point of view, mightbe significantly different. We address this problem using the lexicographicmaximin approach, a refinement of the classic max-min approach. We apply thisapproach in the rapid needs assessment process, which is carried outimmediately after the onset of a disaster, to investigate the disaster's impacton the affected community groups through field visits. We construct routes foran assessment plan to cover community groups, each carrying a distinctcharacteristic, such that the vector of coverage ratios are maximized. Wedefine the leximin selective assessment problem, which considers thebi-objective optimization of total assessment time and coverage ratio vectormaximization. We solve the bi-objective problem by a heuristic approach basedon the multi-directional local search framework.

A lexicographic maximin approach to the selective assessment routing problem